An elliptical park is being built in your neighborhood the park is 25 meters long and 40 meters across. if two swings are being placed at the dock of the ellipse how far from the center mist swings be located

a=20

b=12.5

c=15.61

Step-by-step explanation:

FINDING a

This is a horizontal ellipse because the width of the park is more than its length. length of the major axis = 40 meters a = length of the semi-major axis = 1/2 x 40

        = 20

FINDING b

The length of the minor axis is 25 meters.

    b = length of the semi-minor axis

      = 1/2 x 25

FINDING C

We know that a2 − b2 = c2.

So, c2 = 202 −12.52

           = 400 − 156.25

       c2 = 243.75

       c  15.61

The distance is about 15.61 meters.